Publication:
Sparse approximation using new greedy-like bases in superreflexive spaces

dc.contributor.authorAlbiac Alesanco, Fernando José
dc.contributor.authorAnsorena, José L.
dc.contributor.authorBerasategui, Miguel
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2en
dc.date.accessioned2023-11-08T13:12:55Z
dc.date.available2023-11-08T13:12:55Z
dc.date.issued2023
dc.date.updated2023-11-08T13:02:41Z
dc.description.abstractThis paper is devoted to theoretical aspects of optimality of sparse approximation. We undertake a quantitative study of new types of greedy-like bases that have recently arisen in the context of non-linear m-term approximation in Banach spaces as a generalization of the properties that characterize almost greedy bases, i.e., quasi-greediness and democracy. As a means to compare the efficiency of these new bases with already existing ones in regard to the implementation of the Thresholding Greedy Algorithm, we place emphasis on obtaining estimates for their sequence of unconditionality parameters. Using an enhanced version of the original Dilworth-Kalton-Kutzarova method (2003) for building almost greedy bases, we manage to construct bidemocratic bases whose unconditionality parameters satisfy significantly worse estimates than almost greedy bases even in Hilbert spaces.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationAlbiac, F., Ansorena, J. L., & Berasategui, M. (2023). Sparse approximation using new greedy-like bases in superreflexive spaces. Studia Mathematica, 271(3), 321-346. https://doi.org/10.4064/sm220506-3-2en
dc.identifier.doi10.4064/sm220506-3-2
dc.identifier.issn0039-3223
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/46730
dc.language.isoengen
dc.publisherInstytut Matematycznyen
dc.relation.ispartofStudia Mathematica 271 (3) (2023)en
dc.relation.publisherversionhttps://doi.org/10.4064/sm220506-3-2
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectBidemocratic basesen
dc.subjectSuperreflexive Banach spacesen
dc.subjectThresholding greedy algorithmen
dc.subjectUnconditionality constantsen
dc.titleSparse approximation using new greedy-like bases in superreflexive spacesen
dc.typeinfo:eu-repo/semantics/article
dc.type.versionVersión aceptada / Onetsi den bertsioaes
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dspace.entity.typePublication
relation.isAuthorOfPublication3a702006-6ba1-41ba-93bf-ea9fee1de239
relation.isAuthorOfPublication.latestForDiscovery3a702006-6ba1-41ba-93bf-ea9fee1de239

Files

Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Albiac_SparseApproximation.pdf
Size:
521.99 KB
Format:
Adobe Portable Document Format
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.78 KB
Format:
Item-specific license agreed to upon submission
Description: